What is the radius of curvature of the road if, when driving at a speed of 20m / s, the acceleration is 4m / s ^ 2?

Task data: V (constant speed of the body at the curve of the road) = 20 m / s; a (acceleration) = 4 m / s2 (at constant speed equal to centripetal acceleration).

The radius of the road curvature is expressed from the formula: a = an = V ^ 2 / R, whence R = V ^ 2 / a.

Let’s perform the calculation: R = 20 ^ 2/4 = 100 m.

Answer: The radius of the road curvature is 100 meters.